Question
Determine whether the series is convergent or divergent
series symbol n=1 to infinity (n^2/(e^(3n))
series symbol n=1 to infinity (n^2/(e^(3n))
Answers
an+1/an = e^-3 (1 + 2/n + 1/n^2)
that ratio is less than 1, so the series converges.
see
http://www.wolframalpha.com/input/?i=sum+n^2%2Fe^%283n%29
that ratio is less than 1, so the series converges.
see
http://www.wolframalpha.com/input/?i=sum+n^2%2Fe^%283n%29
we can't use the ratio test on it. The only thing we know as of now is the integral test.
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